The Hamiltonian
H = ∑⟨ij⟩ σi·σj + J2 ∑⟨⟨ij⟩⟩ σi·σj
J1 = 1, J2 = 0.5, nearest and next-nearest neighbours, written with Pauli matrices.
- lattice
- square
- sites
- 256
- boundary
- periodic
- J2
- 0.5
- energies
- 3
Stored as a total energy in the convention of
VarBench; quoted here as
E/N (S.S), which is what the papers report
(how the conversion works).
How these numbers were read
Rows added after the VarBench import record where the number came from.
-0.4969140(5) — CNN-MPS
Checked 2026-09-13 · arXiv HTML parsed locally, no LLM transcription
Reported as. -0.496914 (+/- 5e-7) per site in S.S units
Read from Table 1 of arXiv:2603.14425 (square-lattice J1-J2 at J2/J1=0.5, PBC, E per site in S.S units), parsed from the arXiv HTML. Claim: "For L=16, CNN-MPS yields the lowest variational energy, -0.4969140(5), compared with the previously best reported value -0.4967163(8)".
-0.496786(1) — T-MPS
Checked 2026-09-13 · arXiv HTML parsed locally, no LLM transcription
Reported as. -0.496786 (+/- 0.000001) per site in S.S units
Read from Table 1 of arXiv:2603.14425 (square-lattice J1-J2 at J2/J1=0.5, PBC, E per site in S.S units), parsed from the arXiv HTML.
-0.4967163(8) — ResNet2 (64 conv layers), MinSR
Checked 2026-09-10 · source text/table parsed locally (arXiv HTML or pypdf), no LLM transcription
Reported as. -0.4967163 (+/- 8e-7) per site in S.S units
PDF text: "our approach yields the best variational energy E/N = -0.4967163(8) ... on such a large lattice" (16x16). No VarBench instance existed for this size.